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arXiv · 2505.07120

Asymptotic Mass Distribution of Random Holomorphic Sections

Turgay Bayraktar·Afrim Bojnik
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Abstract

In this note, we prove a central limit theorem for the mass distribution of random holomorphic sections associated with a sequence of positive line bundles endowed with $\mathscr{C}^3$ Hermitian metrics over a compact K\"{a}hler manifold. In addition, we show that almost every sequence of such random holomorphic sections exhibits quantum ergodicity in the sense of Zelditch.

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Turgay Bayraktar, Afrim Bojnik. 2025-05-11. Asymptotic Mass Distribution of Random Holomorphic Sections. https://arxiv.org/abs/2505.07120

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